Phys 700: Mathematical Physics I

Fall 2009

Instructor: Dr. Michael Pravica

Website: http://www.physics.unlv.edu/~pravica

Office: BPB 136                                                                                   Phone (with Voice Mail): 895-1723   

Office Hours: Mon & Wed 11:00am – 12:00pm, or by appointment.

Physics Learning Center Hours: Tues 3-5pm (BPB Room 248-249).  See: http://www.physics.unlv.edu/plc/ for more info.

E-mail: pravica@physics.unlv.edu, or michael.pravica@unlv.edu

Lecture:  Mondays and Wednesdays 4:00pm – 5:15pm                                                              Location: BPB-247

Text: Mathematical Methods for Physicists 6th Ed.(ISBN: 0-12-059876-0), by Arfken & Weber (Elsevier publishers 2005)

Content: We will be covering various mathematical topics that are of great importance to physicists.  Such topics include vector analysis, tensors, matrices and determinants, group theory, complex variables (including contour integration), differential equations, and special functions.  The amount of detail will be adjusted according to the interest of the class.

Expectations:  It is expected in the very least that you will be able to solve basic problems related to the material covered and understand the fundamental concepts associated with this material to pass the course. 

 

Grading:

25%  Homework

25%  Quizzes

25%  Midterm Exam (Wednesday, October 21st, 2009) 

25%  All Inclusive Final Exam (Monday, December 7, 6:00 – 8:00pm)

 

Grading Scale:   

90 100: A- A+; 80 89: B- → B+; 70 79: C- → C+; 60 69: D- → D+; Below 60: F

DO NOT AUTOMATICALLY EXPECT A CURVE!

ATTENDANCE FOR THE FINAL EXAM AT THE SCHEDULED TIME IS REQUIRED. 

Attendance: You are expected to attend all lecture and laboratory periods. You are responsible for all assignments and announcements given in class.  Missed exams will result in a grade of zero.  In the event of an extreme emergency (e.g. hospitalization), make-up exams may be given only with the written permission of the Chair of the Physics Department or the Dean of Arts and Sciences.  You may be asked to provide written documentation to justify your request to make up material.  For example, often an excuse such as “I had a death in the family” is given for an absence.  If such is the case, then proof of death and proof of close family relation must be supplied in order for the work to be made up.  If you represent UNLV at any official extracurricular activity, you shall have the opportunity to make up assignments, but you must provide official written notification to the instructor no less than one week prior to the missed class.  A student missing a class or laboratory assignment because of observance of a religious holiday shall have the opportunity to make up missed work.  The student must notify the instructor of anticipated absences by the last day of late registration (8/28/09).  Students who represent UNLV at any official extracurricular activity shall have the opportunity to make up lost work but must provide written notification to the instructor no less than one week prior to the missed class(es).   

Homework: Homework will be assigned weekly and due one week later. Physics cannot be mastered without working out physics problems.  Don't be discouraged when the material initially seems unfamiliar or the homeworks are difficult.  You are not expected to understand the material immediately. Your mastery of physics will be a gradual process that will develop through diligent practice (i.e., homework).  Hopefully, you will learn that this is not an unpleasant but intellectually engaging experience.  Although each homework assignment is numerically worth the least in terms of your overall grade, it is the most important part of your studies.  You should plan to spend an average of two hours on homework for every hour of lecture. Although we will discuss homework problems occasionally in lecture, questions on homework can always be raised with your instructor during his office hours.  Practice makes perfect!!

Exams: Each student must be prepared to present a pictured ID if requested during an exam.  The Final Exam will encompass ALL of the material covered in the class.   

Cheating: Any person caught cheating on an exam will be dropped from the course. You are permitted, and even encouraged, to work together discussing homework assignments however, you are required to write up your homework alone. Blatant copying on homework will be punished with a grade of zero for the work in question and may result in further disciplinary action. 

For those with disabilities:  The Disability Resource Center (DRC) coordinates all academic accommodations for students with documented disabilities.  If you have a documented disability that may require accommodations, you will need to contact DRC for coordination in your academic accommodations.  The DRC is located in the Student Services Complex (SSC), Room 137.  The phone is VOICE 702-895-0866, or TTY 702-895-0652, and FAX 702-895-0651.  You may also visit their website at:  http://studentlife.unlv.edu/disability/.

Copyright violations:  The University requires all members of the University Community to familiarize themselves and to follow copyright and fair use requirements.  You are individually and solely responsible for violations of copyright and fair use laws.  THE UNIVERSITY WILL NEITHER PROTECT NOR DEFEND YOU NOR ASSUME ANY RESPONSIBILITY FOR EMPLOYEE OR STUDENT VIOLATIONS OF FAIR USE LAWS.  Violations of copyright laws could subject you to federal and state civil penalties and criminal liability, as well as disciplinary action under University policies.  The University encourages you to visit its copyright web page:  http://www.unlv.edu/committees/copyright/.

Final Note: Physics has a reputation of being a difficult subject.  However, you will see that it is not really that bad!  You will find that the knowledge and problem solving skills that you learn here will be extremely valuable no matter what career path you follow.  Therefore, don't be intimidated, try hard, and never be afraid to ask questions.  This syllabus may change as the course progresses.  The instructor will provide advance notice if and when this happens.

 

Tentative Schedule:

 

Week 1 (8/24, 8/26)      Chapter 1                    Vector analysis

 

Week 2 (8/31, 9/2)       Chapter 2                    Vector analysis in curved coordinates and tensors

 

Week 3 (9/9)               Chapter 3                    Determinants and matrices

 

Week 4 (9/14, 9/16)      Chapter 3                    Determinants and matrices

 

Week 5 (9/21, 9/23)      Chapter 4                    Group Theory

 

Week 6 (9/28, 9/30)      Chapter 4                    Group Theory

 

Week 7 (10/5, 10/7)      Chapter 6                    Functions of a Complex Variable I

 

Week 8 (10/12, 10/14)  Chapter 7                    Functions of a Complex Variable II

 

Week 9 (10/19, 10/21)  Chapter 7 and Midterm Exam

                                   

Week 10 (10/26, 10/28)            Chapter 9                    Differential equations

 

Week 11 (11/2, 11/4)    Chapters 9                  Differential equations

 

Week 12 (11/9)                        Chapter 10                  Sturm-Liouville theory - orthogonal functions

 

Week 13 (11/16, 11/18)            Chapter 11                  Bessel functions

 

Week 14 (11/23, 11/25)            Chapters 12                Legendre functions

 

Week 15 (11/30, 12/2)  Chapters 13                More special functions

 

 

FINAL EXAM:           Monday, December 7 from 6:00pm – 8:00pm.